https://peda.net/id/0014729a22e 2019-01-28T12:46:43+02:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/fff5492222f 2019-01-28T14:12:36+02:00 a) kosinilause<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5E2%3Da%5E2%2Bb%5E2-2ab%5Ccos%5Cgamma" alt="c^2=a^2+b^2-2ab\cos\gamma"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cpm4.55244..." alt="c=\pm4.55244..."/></div> <div>hylätään negatiivinen tulos</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D4%7B%2C%7D55244...%5Capprox4%7B%2C%7D6cm" alt="c=4{,}55244...\approx4{,}6cm"/></div> <br/> b) sinilause<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Ba%7D%7B%5Csin%5Calpha%7D%3D%5Cfrac%7Bb%7D%7B%5Csin%5Cbeta%7D%3D%5Cfrac%7Bc%7D%7B%5Csin%5Cgamma%7D" alt="\frac{a}{\sin\alpha}=\frac{b}{\sin\beta}=\frac{c}{\sin\gamma}"/></div> <div>kolmas kulma on <img src="https://math-demo.abitti.fi/math.svg?latex=180%C2%B0-60%C2%B0-70%C2%B0%3D50%C2%B0" alt="180°-60°-70°=50°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B3%7B%2C%7D0cm%7D%7B%5Csin50%C2%B0%7D%3D%5Cfrac%7Bx%7D%7B%5Csin60%C2%B0%7D" alt="\frac{3{,}0cm}{\sin50°}=\frac{x}{\sin60°}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3%5Csin60%C2%B0%3Dx%5Csin50%C2%B0" alt="3\sin60°=x\sin50°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=2%7B%2C%7D598...cm%3Dx%5Csin50%C2%B0%5C%20%5Cparallel%3A%5Csin50%C2%B0" alt="2{,}598...cm=x\sin50°\ \parallel:\sin50°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D3%7B%2C%7D391...cm%5Capprox3%7B%2C%7D4cm" alt="x=3{,}391...cm\approx3{,}4cm"/></div> c) kosinilause<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5E2%3Da%5E2%2Bb%5E2-2ab%5Ccos%5Cgamma" alt="c^2=a^2+b^2-2ab\cos\gamma"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3%7B%2C%7D5%5E2%3D3%7B%2C%7D5%5E2%2B6%7B%2C%7D4%5E2-2%5Ccdot3%7B%2C%7D5%5Ccdot6%7B%2C%7D4%5Ccos%5Cgamma" alt="3{,}5^2=3{,}5^2+6{,}4^2-2\cdot3{,}5\cdot6{,}4\cos\gamma"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=12%7B%2C%7D25%3D53.21-44.8%5Ccos%5Cgamma%5C%20" alt="12{,}25=53.21-44.8\cos\gamma\ "/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=44.8%5Ccos%5Cgamma%3D40.96%5C%20%5Cparallel%3A44.8" alt="44.8\cos\gamma=40.96\ \parallel:44.8"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Ccos%5Cgamma%3D%5Cfrac%7B40.96%7D%7B44.8%7D" alt="\cos\gamma=\frac{40.96}{44.8}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cgamma%3D23%7B%2C%7D89550...%C2%B0%5Capprox23%7B%2C%7D9%C2%B0" alt="\gamma=23{,}89550...°\approx23{,}9°"/><br/> <div> </div> 2019-01-28T14:12:36+02:00 https://peda.net/id/2fab111022f 2019-01-28T13:38:09+02:00 <img src="https://math-demo.abitti.fi/math.svg?latex=c%5E2%3Da%5E2%2Bb%5E2-2ab%5Ccos%5Cgamma" alt="c^2=a^2+b^2-2ab\cos\gamma"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5%7B%2C%7D8%5E2%3D4%7B%2C%7D8%5E2%2Bx%5E2-2%5Ccdot4%7B%2C%7D8%5Ccdot%20x%5Ccdot%5Ccos%5C%2040%C2%B0" alt="5{,}8^2=4{,}8^2+x^2-2\cdot4{,}8\cdot x\cdot\cos\ 40°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=ratkaistaan%5C%20x%5C%20laskimella" alt="ratkaistaan\ x\ laskimella"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Capprox8%7B%2C%7D59%5C%20tai%5C%20x%5Capprox-1%7B%2C%7D23%5C%20%5Cleft(hyl%C3%A4t%C3%A4%C3%A4n%5Cright)" alt="x\approx8{,}59\ tai\ x\approx-1{,}23\ \left(hylätään\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Capprox8%7B%2C%7D6cm" alt="x\approx8{,}6cm"/><br/> <br/> <br/> 2019-01-28T13:38:09+02:00 https://peda.net/id/49a70ce822e 2019-01-28T13:27:02+02:00 <a href="https://peda.net/p/oskari.lahtinen/maa3p/2-4/275/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/maa3p/2-4/275/sieppaa-png:file/photo/bb5821f004a411f33fb2f6fafd004938bdd65d3c/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=A%3D%5Cfrac%7B1%7D%7B2%7Dab%5Csin%5Cgamma" alt="A=\frac{1}{2}ab\sin\gamma"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=11%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot5%5Ccdot8%7B%2C%7D8%5Csin%5Cgamma" alt="11=\frac{1}{2}\cdot5\cdot8{,}8\sin\gamma"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=11%3D22%5Csin%5Cgamma%5C%20%5Cparallel%3A22" alt="11=22\sin\gamma\ \parallel:22"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D5%3D%5Csin%5Cgamma%5C%20" alt="0{,}5=\sin\gamma\ "/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cgamma%3D30%C2%B0%5C%20tai%5C%20180%C2%B0-30%C2%B0%3D150%C2%B0" alt="\gamma=30°\ tai\ 180°-30°=150°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5E2%3Da%5E2%2Bb%5E2-2ab%5Ccos%5Cgamma" alt="c^2=a^2+b^2-2ab\cos\gamma"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5E2%3D26.229...cm%5C%20tai%5C%20178.650...cm%5C%20%5Cparallel%5Csqrt%7B%20%7D" alt="c^2=26.229...cm\ tai\ 178.650...cm\ \parallel\sqrt{ }"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cpm5%7B%2C%7D121...%5C%20%5Capprox%5Cpm5%7B%2C%7D1cm%5C%20tai%5C%20%5Cpm13.366...%5Capprox%5Cpm13%7B%2C%7D4cm" alt="c=\pm5{,}121...\ \approx\pm5{,}1cm\ tai\ \pm13.366...\approx\pm13{,}4cm"/></div> <div>hylätään negatiiviset tulokset</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D5%7B%2C%7D1cm%5C%20tai%5C%2013%7B%2C%7D4cm" alt="c=5{,}1cm\ tai\ 13{,}4cm"/></div> 2019-01-28T13:17:24+02:00